Problems: 1. The following data were collected to determine the relationship between high school rank in class and grade-point average at the end of the freshman year in college. a. Find the equation of the regression line to predict the grade-point average of college freshmen from high school rank in class. b. Predict the grade-point average for entering freshmen who ranks in the third decile of his graduating class. GRADE POINT DECILE RANK AVERAGE 1.93 3 1.72 2.87 1.34 2.54 1.40 1.45 1.72 3.80 2.30 1.81 2.33 2.53 2.04 3.20 1 4 2 8 4 8 1 5 1 1 2 2

Problems: 1. The following data were collected to determine the relationship between high school rank in class and grade-point average at the end of the freshman year in college. a. Find the equation of the regression line to predict the grade-point average of college freshmen from high school rank in class. b. Predict the grade-point average for entering freshmen who ranks in the third decile of his graduating class. GRADE POINT DECILE RANK AVERAGE 1.93 3 1.72 2.87 1.34 2.54 1.40 1.45 1.72 3.80 2.30 1.81 2.33 2.53 2.04 3.20 1 4 2 8 4 8 1 5 1 1 2 2

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.FOM: Focus On Modeling: Fitting Lines To Data

Problem 12P: Demand for Candy Bars In this problem you will determine a linear demand equation that describes the...

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Demand for Candy Bars In this problem you will determine a linear demand equation that describes the demand for candy bars in your class. Survey your classmates to determine what price they would be willing to pay for a candy bar. Your survey form might look like the sample to the left. a Make a table of the number of respondents who answered yes at each price level. b Make a scatter plot of your data. c Find and graph the regression line y=mp+b, which gives the number of respondents y who would buy a candy bar if the price were p cents. This is the demand equation. Why is the slope m negative? d What is the p-intercept of the demand equation? What does this intercept tell you about pricing candy bars? Would you buy a candy bar from the vending machine in the hallway if the price is as indicated. Price Yes or No 50 75 1.00 1.25 1.50 1.75 2.00
Problem 2 The following printout shows the results of a simple linear regression model that predicts monthly sales (in thousands of dollars) based on how much money was spent on advertising (in thousands of dollars) during a particular month for 15 stores of a retail chain. a) Is there a statistically significant relationship between money spent on advertising and sales? Test at the 5% level of significance and explain your approach (including hypotheses). b) Somebody claims that every additional $1,000 in advertising will increase sales by more than $2,000 in the population. Can you find support for this claim given the results of your analysis? Test at the 5% level of significance and explain your approach (including hypotheses). How is this test different from the one in part a)? c) Find a 95% confidence interval for the change in sales given a $1,000 increase in the amount of money spent on advertising. How does this confidence interval relate to your answer to part a)?
The operations manager of a musical instrument distributor feels that the demand for Bass Drums may be related to the number of television appearances by the popular rick group Green Shades during the previous month. The manager has collected the data shown in the following table. Demand for Bass Drums 3 6 7 5 10 8 Green Shades TV appearances 3 4 7 6 8 5 Develop the linear regression equation to forecast. Forecast demand for Bass Drums when Green Shades’ TV appearances are 10. Compute MSE and standard deviation for Problem 8.
QUESTION 2 XXX Electric Illuminating Company is doing a survey on the relationship between electricity used in kilowatt-hours (thousand) and the number of rooms in a private single-family residence. A random sample of 10 homes was selected and the electricity consumption recorded as below. ii. Find a suitable linear regression equation ? = ? + ??. iii. Determine the number of kilowatt-hours (thousand) for an eleven-room residence.
The following data relate the sales figures of the bar in Mark kaltenbach's small bed-and-breakfast inn in Portland, to the number of guests registered that week: Week Guest Bar sales 1 16 $330 2 12 $270 3 18 $380 4 14 $315 a) The simple linear regression equation that relates bar sales to number of guests (not to time) is ( round your response to one decimal place) Bar sales= ___+___Xguests
The following data relate the sales figures of the bar in Mark Kaltenbach's small bed-and-breakfast inn in portland, to the number of guests registerd that week: week guests bar sales 1 16 $330 2 12 $270 3 18 $380 4 14 $315 a) The simple linear regression equation that relates bar sales to number of guests (not to time) is (round your responses to one decimal place): Bar sales = 65+17.15 x guests b) If the forecast is 24 guests next week the bar sales are expected to be $[__] (round your response to one decimal place).
It is considered that the number of employees in the enterprise affects the number of production. Data are given below. Which of the following is the simple linear regression equation?
An admissions counselor is looking to determine an equation that relates the graduate grade point averages of students who are newly admitted to an academic program with their undergraduate GPA, their GRE scores, and the number of years they have been out of college. What is the correct format for a multiple regression equation? Select the correct answer below: yˆ=b0+b1x1+b2x2+b3x3 yˆ=b1x1+b2x2+b3x3 yˆ=b0+b1x1+b2x2+b3x3+b4x4 yˆ=b0+b1x1+b2x2
1. The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown. % Working 69 48 73 54 61 % Management 51 21 61 51 43 Develop the estimated regression equation by computing the values of b0 (y-intercept) and b1 (slope).Predict the percentage of management jobs held by women in a company that has 65% women employees.
For Problems, presume that the variables student-to-faculty ratio and graduation rate satisfy the assumptions for regression inferences.Graduation Rates. Refer to Problem. At the 2.5% significance level, do the data provide sufficient evidence to conclude that the variables student-to-faculty ratio and graduation rate are positively linearly correlated?ProblemsApplying the Concepts and SkillsGraduation Rates. Graduation rate—the percentage of entering freshmen attending full time and graduating within 5 years— and what influences it is a concern in U.S. colleges and universities. U.S. News and World Report’s “College Guide” provides data on graduation rates for colleges and universities as a function of the percentage of freshmen in the top 10% of their high school class, total spending per student, and student-to-faculty ratio. A random sample of 10 universities gave the following data on student-to-faculty ratio (S/F ratio) and graduation rate (Grad rate). S/F ratio x Grad rate y…